A199413 9*6^n+1.

10, 55, 325, 1945, 11665, 69985, 419905, 2519425, 15116545, 90699265, 544195585, 3265173505, 19591041025, 117546246145, 705277476865, 4231664861185, 25389989167105, 152339935002625, 914039610015745, 5484237660094465, 32905425960566785

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7,-6).

Formula

a(n) = 6*a(n-1)-5.

a(n) = 7*a(n-1)-6*a(n-2).

G.f.: 5*(2-3*x)/((1-x)*(1-6*x)).

Mathematica

NestList[6#-5&, 10, 20] (* or *) LinearRecurrence[{7, -6}, {10, 55}, 30] (* Harvey P. Dale, Sep 28 2012 *)

Prog

(Magma) [9*6^n+1: n in [0..30]];

Crossrefs

Sequence in context: A357668 A316109 A188168 * A054629 A290359 A030114

Adjacent sequences: A199410 A199411 A199412 * A199414 A199415 A199416

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 06 2011

Status

approved